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Machine learning classification tasks often benefit from predicting a set of possible labels with confidence scores to capture uncertainty. However, existing methods struggle with the high-dimensional nature of the data and the lack of…

机器学习 · 计算机科学 2024-07-08 Rui Luo , Zhixin Zhou

A task of clustering data given in the ordinal scale under conditions of overlapping clusters has been considered. It's proposed to use an approach based on memberhsip and likelihood functions sharing. A number of performed experiments…

机器学习 · 计算机科学 2017-02-07 Zhengbing Hu , Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Viktoriia O. Samitova

Breast cancer is the second leading cause for death among women and it is diagnosed with the help of mammograms. Oncologists are miserably failed in identifying the micro calcification at the early stage with the help of the mammogram…

计算机视觉与模式识别 · 计算机科学 2012-05-25 K. Thangavel , R. Roselin

We deliver a call to arms for probabilistic numerical methods: algorithms for numerical tasks, including linear algebra, integration, optimization and solving differential equations, that return uncertainties in their calculations. Such…

数值分析 · 数学 2016-02-17 Philipp Hennig , Michael A Osborne , Mark Girolami

Dempster-Shafer Theory (DST) generalizes Bayesian probability theory, offering useful additional information, but suffers from a high computational burden. A lot of work has been done to reduce the complexity of computations used in…

人工智能 · 计算机科学 2021-07-15 Maxime Chaveroche , Franck Davoine , Véronique Cherfaoui

When sample data are governed by an unknown sequence of independent but possibly non-identical distributions, the data-generating process (DGP) in general cannot be perfectly identified from the data. For making decisions facing such…

理论经济学 · 经济学 2022-05-11 Xiaoyu Cheng

Maji et al. introduced in 2002 a method of parametric decision making using soft sets as tools and representing their tabular form as a binary matrix. In cases, however, where some or all of the parameters used for the characterization of…

人工智能 · 计算机科学 2023-06-06 Michael Gr. Voskoglou

Decision-making in real applications is often affected by vagueness, incomplete information, heterogeneous data, and conflicting expert opinions. This survey reviews uncertainty-aware multi-criteria decision-making (MCDM) and organizes the…

人工智能 · 计算机科学 2026-03-23 Takaaki Fujita , Florentin Smarandache

In recent years, the problem of fuzzy clustering has been widely concerned. The membership iteration of existing methods is mostly considered globally, which has considerable problems in noisy environments, and iterative calculations for…

机器学习 · 计算机科学 2023-03-09 Jiang Xie , Qiao Deng , Shuyin Xia , Yangzhou Zhao , Guoyin Wang , Xinbo Gao

We revisit Zadeh's notion of "evidence of the second kind" and show that it provides the foundation for a general theory of epistemic random fuzzy sets, which generalizes both the Dempster-Shafer theory of belief functions and possibility…

人工智能 · 计算机科学 2022-02-17 Thierry Denoeux

Binary classification is a task that involves the classification of data into one of two distinct classes. It is widely utilized in various fields. However, conventional classifiers tend to make overconfident predictions for data that…

机器学习 · 计算机科学 2025-03-13 Shoma Yokura , Akihisa Ichiki

Neutrosophic set has the ability to handle uncertain, incomplete, inconsistent, indeterminate information in a more accurate way. In this paper, we proposed a neutrosophic recommender system to predict the diseases based on neutrosophic set…

人工智能 · 计算机科学 2016-02-29 Mumtaz Ali , Nguyen Van Minh , Le Hoang Son

This paper proposes a new method for solving Bayesian decision problems. The method consists of representing a Bayesian decision problem as a valuation-based system and applying a fusion algorithm for solving it. The fusion algorithm is a…

人工智能 · 计算机科学 2013-03-26 Prakash P. Shenoy

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

统计方法学 · 统计学 2017-01-23 Björn Görder , Michael Kolonko

Unsatisfying accuracy of learning methods is mostly caused by omitting the influence of important parameters such as membership assignments, type of data objects, and distance or similarity functions. The proposed method, called Bounded…

机器学习 · 计算机科学 2020-07-28 Hossein Yazdani

We introduce a distance-based neural network model for regression, in which prediction uncertainty is quantified by a belief function on the real line. The model interprets the distances of the input vector to prototypes as pieces of…

机器学习 · 计算机科学 2022-11-29 Thierry Denoeux

Mountain river torrents and snow avalanches generate human and material damages with dramatic consequences. Knowledge about natural phenomenona is often lacking and expertise is required for decision and risk management purposes using…

人工智能 · 计算机科学 2011-01-20 Jean-Marc Tacnet , Mireille Batton-Hubert , Jean Dezert

In this paper we deal with a new approach to probabilistic reasoning in a logical framework. Nearly almost all logics of probability that have been proposed in the literature are based on classical two-valued logic. After making clear the…

人工智能 · 计算机科学 2013-02-21 Petr Hajek , Lluis Godo , Francesc Esteva

It is well understood that Bayesian decision theory and average case analysis are essentially identical. However, if one is interested in performing uncertainty quantification for a numerical task, it can be argued that standard approaches…

统计方法学 · 统计学 2020-07-16 Chris. J. Oates , Jon Cockayne , Dennis Prangle , T. J. Sullivan , Mark Girolami

This paper describes recent work on an ongoing project in medical diagnosis at the University of Guelph. A domain on which experts are not very good at pinpointing a single disease outcome is explored. On-line medical data is available over…

人工智能 · 计算机科学 2013-04-05 Mary McLeish , P. Yao , T. Stirtzinger